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Finding the Fourth Proportional to 110,091.88, 165,137.82 and 47,761

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Solution

The fourth proportional to 110,091.88, 165,137.82 and 47,761 is: 71,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,091.88 : 165,137.82 = 47,761 : x
  2. Step 2: Convert to fraction form
    110,091.88/165,137.82 = 47,761/x
  3. Step 3: Cross multiply
    110,091.88x = 165,137.82 × 47,761
  4. Step 4: Simplify right side
    110,091.88x = 7,887,147,421.02
  5. Step 5: Solve for x
    x = 7,887,147,421.02/110,091.88
  6. Step 6: Final answer
    x = 71,641.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.